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Byun, S., Yao, F.P. and Zhou, S.L. (2008) Gradient estimates in Orlicz space for nonlinear elliptic equations. Journal of Functional Analysis, 255, 1851-1873.

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• 标题: 双调和抛物方程的加权Lp估计Weighted Lp Estimates for the Bi-Harmonic Parabolic Equation

  作者: 于华翠

  关键字: 双调和抛物方程, 加权, Lp估计, 正则性估计Bi-Harmonic Parabolic Equation, Weighted, Lp Estimates, Regularity Estimates

  期刊名称: 《Pure Mathematics》, Vol.5 No.2, 2015-03-03

  摘要: Schauder估计和LP估计是偏微分方程基本的正则性估计。本文我们主要研究双调和抛物方程的一类新的正则性估计——加权LP估计。Schauder estimates and LP estimates are the basic regularity estimates in the partial differential equations. In this paper we mainly study a new class of regularity estimates, weighted LP esti-mates for the bi-harmonic parabolic equation.